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Finding the Fourth Proportional to 41,102.98, 56,717.77 and 23,871.98

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Solution

The fourth proportional to 41,102.98, 56,717.77 and 23,871.98 is: 32,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.98 : 56,717.77 = 23,871.98 : x
  2. Step 2: Convert to fraction form
    41,102.98/56,717.77 = 23,871.98/x
  3. Step 3: Cross multiply
    41,102.98x = 56,717.77 × 23,871.98
  4. Step 4: Simplify right side
    41,102.98x = 1,353,965,471.08
  5. Step 5: Solve for x
    x = 1,353,965,471.08/41,102.98
  6. Step 6: Final answer
    x = 32,940.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.